Ground Fault Current Calculator Formula

Understand the math behind the ground fault current calculator. Each variable explained with a worked example.

Formulas Used

Ground Fault Current

ground_fault_current = system_voltage / (ground_path_impedance + source_impedance)

Fault Power

fault_power = pow(system_voltage, 2) / (ground_path_impedance + source_impedance)

Touch Voltage (at fault)

touch_voltage = system_voltage * ground_path_impedance / (ground_path_impedance + source_impedance)

Variables

VariableDescriptionDefault
system_voltageSystem Voltage (Phase-to-Ground)(V)277
ground_path_impedanceGround Path Impedance(Ω)0.5
source_impedanceSource Impedance(Ω)0.1

How It Works

Ground Fault Current Estimation

Ground fault current flows when a live conductor contacts grounded metal. Its magnitude determines how quickly protection devices clear the fault.

Formula

I_gf = V_phase / (Z_ground + Z_source)

Touch Voltage = V_phase x Z_ground / (Z_ground + Z_source)

Low ground-path impedance ensures high fault current, which trips protective devices quickly. High impedance (poor grounding) results in low fault current that may not trip the breaker, leaving a dangerous condition.

Worked Example

277 V phase-to-ground, 0.5 ohm ground path, 0.1 ohm source impedance.

system_voltage = 277ground_path_impedance = 0.5source_impedance = 0.1
  1. 01Ground fault current: 277 / (0.5 + 0.1) = 461.7 A
  2. 02Fault power: 277^2 / 0.6 = 127,882 W
  3. 03Touch voltage: 277 x 0.5 / 0.6 = 230.8 V (dangerous)

Ready to run the numbers?

Open Ground Fault Current Calculator